{
  "abstract": "Let $\\bar{p}_{s,t}(N)$ be the number of overpartitions of $N$ into parts that are not divisible by $s$ or $t$. In this paper, we obtain asymptotic formulas for $\\bar{p}_{s,t}(N)$ for relatively prime integers $s>t\\ge 10$ via the saddle-point method. Our results cover different ranges of the parameters $s$ and $t$ relative to $N$. As an application, we show that $\\bar{p}_{s,t}(N)$ satisfies higher-order Turán inequalities for all sufficiently large $N$ by using a result of Griffin, Ono, Rolen, and Zagier.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.14538",
  "author_total": 1,
  "authors": [
    {
      "name": "Jayanta Barman"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/163fr68mv357h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.14538",
  "fulltext_url": null,
  "id": "163fr68mv357h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.14538",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.NT"
    ],
    [
      "openalex",
      "2602|Advanced Mathematical Identities"
    ]
  ],
  "openalex": "W7213272705",
  "pdf_url": "https://arxiv.org/pdf/2609.14538",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/163fr68mv357h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2609.14538",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.14538"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NT",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Asymptotic Formula for Biregular Overpartitions",
  "title_text": "Asymptotic Formula for Biregular Overpartitions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/163fr68mv357h",
  "venue": "arXiv",
  "versions": []
}